Kathy spent
35 of her salary on a food processor and
23 of the remainder on a gas stove. If she saved the remaining $74, how much was her salary?
Fraction of the salary spent on the food processor =
35 Fraction of the salary on the remainder
= 1 -
35 =
25 Fraction of the remainder on savings
= 1 -
23 =
13
Food Processor |
Remainder |
Total |
3x3 |
2x3 |
5x3 |
|
Gas Stove |
Savings |
|
|
2x2 |
1x2 |
|
9 u |
4 u |
2 u |
15 u |
The remainder and the total amount on the gas stove and the savings are the same. Make the remainder and the total amount on the gas stove and the savings the same. LCM of 2 and 3 is 6.
Total salary = 15 u
Amount spent of the food processor = 9 u
Amount spent on the gas stove = 4 u
Amount of savings = 2 u
2 u = 74
1 u = 74 ÷ 2 = 37
Kathy's salary
= 15 u
= 15 x 37
= $555
Answer(s): $555